105090137 has 2 divisors, whose sum is σ = 105090138. Its totient is φ = 105090136.

The previous prime is 105090133. The next prime is 105090163. The reversal of 105090137 is 731090501.

It is an a-pointer prime, because the next prime (105090163) can be obtained adding 105090137 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55190041 + 49900096 = 7429^2 + 7064^2 .

It is a cyclic number.

It is not a de Polignac number, because 105090137 - 2² = 105090133 is a prime.

It is a super-2 number, since 2×105090137² = 22087873789357538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105090131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52545068 + 52545069.

It is an arithmetic number, because the mean of its divisors is an integer number (52545069).

Almost surely, 2^105090137 is an apocalyptic number.

It is an amenable number.

105090137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105090137 is an equidigital number, since it uses as much as digits as its factorization.

105090137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 26.

The square root of 105090137 is about 10251.3480576947. The cubic root of 105090137 is about 471.9043558598.

The spelling of 105090137 in words is "one hundred five million, ninety thousand, one hundred thirty-seven".